A Four Dimensional Superstring from the Bosonic String with Some Applications

TL;DR

This paper constructs a four-dimensional superstring model by augmenting a bosonic string with Majorana fermions, achieving world sheet supersymmetry, modular invariance, and potential connections to the standard model.

Contribution

It introduces a novel four-dimensional superstring model with Majorana fermions, demonstrating world sheet supersymmetry and a pathway to the standard model gauge group.

Findings

Achieved a four-dimensional superstring with 44 Majorana fermions.

Demonstrated modular invariance via GSO projections.

Connected the model's symmetry to the standard model group.

Abstract

A string in four dimensions is constructed by supplementing it with forty four Majorana fermions. The later are represented by eleven vectors in the bosonic representation $SO(D-1,1)$. The central charge is 26. The fermions are grouped in such a way that the resulting action is world sheet supersymmetric. The energy momentum and current generators satisfy the super-Virasoro algebra. GSO projections are necessary for proving modular invariance. Space-time supersymmetry algebra is deduced and is substantiated for specific modes of zero mass. The symmetry group of the model can descend to the low energy standard model group $SU (3) \times SU_L (2) \times U_Y (1)$ through the Pati-Salam group.